
<html>
<head>
	<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
	<link rel=stylesheet href='include/hoj.css' type='text/css'>
</head>
<body>
<center>
<div style="width:90%; text-align:left">
<img src="image/logo.png"/>
</div>
<table width=96%> 
	<tr align="center" class='hd' valign="top">
				<th><a href="faqs.php">F.A.Qs</a></th>
		<th><a href="./bbs.php">Web Board</a></th>
		<th><a href="./">Home</a></th>
		<th><a href="./problemset.html">ProblemSet</a></th>
		<th><a href="./status.php">Status</a></th>
		<th><a href="./ranklist.php">Ranklist</a></th>
		<th><a href="./contest.php">Contest</a></th>
		<th><a href=loginpage.php>Login</a></th><th><a href=registerpage.php>Register</a></th>	</tr>
</table>
</center>
<center>
<div class="notice">
	<div>
		<B>Notice:</B>鉴于种种原因，本OJ自下周星期一（3月5号）开始不再全面开放，请各位做好善后事宜，谢谢合作。	</div>
</div>
</center>
</div>
<title>Problem 2511. -- 信心题 -- 衡阳八中OJ离线版-2012-02-29</title><center><h2>2511: 信心题</h2><span class=green>Time Limit: </span>10 Sec&nbsp;&nbsp;<span class=green>Memory Limit: </span>128 MB<br><span class=green>Submit: </span>3&nbsp;&nbsp;<span class=green>Solved: </span>0<br>[<a href='submitpage.php?id=2511'>Submit</a>][<a href='problemstatus.php?id=2511'>Status</a>][<a href='bbs.php?id=2511'>Discuss</a>]</center><h2>Description</h2><div class=content><div style="text-indent: 21pt"><span style="font-size: medium">给定一个<i>N</i>个顶点的凸多边形，多边形可能有多个点在一条直线上。</span></div>
<div style="text-indent: 21pt"><span style="font-size: medium">给定<i>M</i>条直线，对于每条直线，问这条直线将多边形划分成的两个区域中，面积较小的那个区域的面积。</span></div>
<div><span style="font-size: medium">&nbsp;</span></div></div><h2>Input</h2><div class=content><div style="text-indent: 21pt"><span style="font-size: medium">第1行包含一个<b><u>正整数</u></b><i>N</i>，表示了多边形顶点数。</span></div>
<div style="text-indent: 21pt"><span style="font-size: medium">接下来<i>N</i>行，每行两个绝对值不超过10000的整数<i>x</i>, <i>y</i>，按顺时针或者逆时针顺序给出了多边形每个顶点坐标。</span></div>
<div style="text-indent: 21pt"><span style="font-size: medium">第<i>N</i>+2行包含一个正整数<i>M</i>，表示了询问直线的个数。</span></div>
<div style="text-indent: 21pt"><span style="font-size: medium">接下来M行，每行4个绝对值不超过10000的整数<i>x</i><sub>1</sub>, <i>y</i><sub>1</sub>, <i>x</i><sub>2</sub>, <i>y</i><sub>2</sub>，表示了询问直线过(<i>x</i><sub>1</sub>, <i>y</i><sub>1</sub>), (<i>x</i><sub>2</sub>, <i>y</i><sub>2</sub>)两点，并保证了(<i>x</i><sub>1</sub>, <i>y</i><sub>1</sub>) &ne; (<i>x</i><sub>2</sub>, <i>y</i><sub>2</sub>)。<b><u>若直线将凸多边形划分成两部分，则输出较小那部分的面积，否则输出</u></b><b><u>0</u></b><b><u>。</u></b></span></div>
<div style="text-indent: 21pt"><span style="font-size: medium">&nbsp;</span></div></div><h2>Output</h2><div class=content><div style="text-indent: 21pt"><span style="font-size: medium">应包含<i>M</i>行，对于每条直线输出对应结果，<b><u>保留</u></b><b><u>4</u></b><b><u>位小数</u></b>。</span></div></div><h2>Sample Input</h2>
			<div class=content><span class=sampledata> 5<br />
0 0<br />
0 5<br />
0 10<br />
10 10<br />
10 0<br />
4<br />
0 0 10 10<br />
9 10 10 9<br />
10 -1 12 11<br />
10 10 0 5<br />
 <br />
</span></div><h2>Sample Output</h2>
			<div class=content><span class=sampledata>50.0000<br />
0.5000<br />
0.0000<br />
25.0000<br />
 <br />
</span></div><h2>HINT</h2>
			<div class=content><p><p>【数据规模与约定】<br /><br />
对于20%的数据，有N, M &le; 100；<br /><br />
对于40%的数据，有N, M &le; 1000；<br /><br />
对于100%的数据，有N, M &le; 50000；</p></p></div><h2>Source</h2>
			<div class=content><p><a href='problemset.html?search=2011福建集训'>2011福建集训</a></p></div><center>[<a href='submitpage.php?id=2511'>Submit</a>][<a href='problemstatus.php?id=2511'>Status</a>][<a href='bbs.php?id=2511'>Discuss</a>]</center>﻿<br>

<a href="./"><span class=red>HOME</span></a>
<a href="javascript:history.go(-1)"><span class=red>Back</span></a>

<hr>
<center>
	<div class="footer">
			<a href=setlang.php?lang=ko>한국어</a>&nbsp;
		<a href=setlang.php?lang=cn>中文</a>&nbsp;
		<a href=setlang.php?lang=fa>فارسی</a>&nbsp;
		<a href=setlang.php?lang=en>English</a>&nbsp;
		<a href=setlang.php?lang=th>ไทย</a>
	<br>		<div>版权所有 &copy;2008-2012 WaterPark Organization. | <script src="http://s21.cnzz.com/stat.php?id=2982771&web_id=2982771" language="JavaScript"></script>
</div>
		<div>Based on opensource project <a href="http://hustoj.googlecode.com">hustoj</a>.</div>
	</div>
</center>
</body>
</html>
